Copyright © 2009 Allaberen Ashyralyev et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The stable difference scheme for the numerical solution of the mixed problem for the
multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this
difference scheme and for the first and second orders difference derivatives are obtained. A procedure
of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional
fractional hyperbolic partial differential equations.